repeating decimal

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Explanation of "Repeating Decimal"

Definition:
A "repeating decimal" is a number that has a decimal point, and after some digits, a certain sequence of digits keeps repeating forever. It is like a pattern in the numbers that goes on without end.

Advanced Usage:

In more advanced math, you might discuss the properties of repeating decimals, such as how they can be converted back into fractions. For example, the repeating decimal 0.666... is equal to the fraction 2/3.

Word Variants:

• Non-repeating decimal: A decimal number that does not have any repeating digits (for example, 0.25).

Different Meanings:

In mathematics, "repeating" can also refer to any action or sequence that occurs again, but in the context of "repeating decimal," it specifically refers to a repeating pattern of digits after the decimal point.

Synonyms:

• Recurring decimal (another term for repeating decimal).
• Infinite decimal (this term can refer to a decimal that goes on forever, but is less specific).

Related Idioms and Phrasal Verbs:

While there are no direct idioms or phrasal verbs specifically associated with "repeating decimal," here are some related expressions in mathematics: - "Going in circles": This means discussing the same topic repeatedly without making progress, somewhat similar to the repetitive nature of a repeating decimal. - "Back to square one": This means to return to the beginning after a failed attempt, which can also imply a kind of repetition.

Summary:

• A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely.
• Example: 1/3 = 0.333...
• Related term: recurring decimal.
• Use in math discussions about fractions and their decimal representations.

Academic

Noun

1. a decimal with a sequence of digits that repeats itself indefinitely

Synonyms

• circulating decimal
• recurring decimal